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10002202021110 = 23513672331642859
BaseRepresentation
bin1001000110001101000110…
…1100101100110011110110
31022102012102122201111220210
42101203101230230303312
52302334002204133420
633134540450010250
72051430614252025
oct221432154546366
938365378644823
1010002202021110
113206a01314082
1211565b1276986
13577285416ab0
142681757748bc
151252a840d9e0
hex918d1b2ccf6

10002202021110 has 128 divisors (see below), whose sum is σ = 26350317826560. Its totient is φ = 2414922402816.

The previous prime is 10002202021087. The next prime is 10002202021127. The reversal of 10002202021110 is 1112020220001.

10002202021110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5266861 + ... + 6909719.

It is an arithmetic number, because the mean of its divisors is an integer number (205861858020).

Almost surely, 210002202021110 is an apocalyptic number.

10002202021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002202021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175158913280).

10002202021110 is an abundant number, since it is smaller than the sum of its proper divisors (16348115805450).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10002202021110 is a wasteful number, since it uses less digits than its factorization.

10002202021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643182.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002202021110 its reverse (1112020220001), we get a palindrome (11114222241111).

The spelling of 10002202021110 in words is "ten trillion, two billion, two hundred two million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 67 78 130 134 195 201 233 335 390 402 466 670 699 871 1005 1165 1398 1742 2010 2330 2613 3029 3495 4355 5226 6058 6990 8710 9087 13065 15145 15611 18174 26130 30290 31222 45435 46833 78055 90870 93666 156110 202943 234165 405886 468330 608829 1014715 1217658 1642859 2029430 3044145 3285718 4928577 6088290 8214295 9857154 16428590 21357167 24642885 42714334 49285770 64071501 106785835 110071553 128143002 213571670 220143106 320357505 330214659 382786147 550357765 640715010 660429318 765572294 1100715530 1148358441 1430930189 1651073295 1913930735 2296716882 2861860378 3302146590 3827861470 4292790567 4976219911 5741792205 7154650945 8585581134 9952439822 11483584410 14309301890 14928659733 21463952835 24881099555 25646671849 29857319466 42927905670 49762199110 51293343698 74643298665 76940015547 128233359245 149286597330 153880031094 256466718490 333406734037 384700077735 666813468074 769400155470 1000220202111 1667033670185 2000440404222 3334067340370 5001101010555 10002202021110